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arxiv: 1905.12809 · v2 · pith:TJZW5R6Wnew · submitted 2019-05-30 · 🧮 math.AP

Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach

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keywords energylagrangianzeroasymptoticallyconicnearperspectiveresolvent
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We use a Lagrangian regularity perspective to discuss resolvent estimates near zero energy on Riemannian scattering, i.e. asymptotically conic, spaces, and their generalizations. In addition to the Lagrangian perspective we introduce and use a resolved pseudodifferential algebra to deal with zero energy degeneracies in a robust manner.

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